The L∞-deformations of associative Rota–Baxter algebras and homotopy Rota–Baxter operators

DOI10.1063/5.0076566OpenAlexW4280620090MaRDI QIDQ5883425

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Publication date: 21 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.11076

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Vertex operators; vertex operator algebras and related structures (17B69) Homological methods in Lie (super)algebras (17B55) Deformations of associative rings (16S80) Nonassociative algebras satisfying other identities (17A30) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (7)

Representations and cohomologies of relative Rota-Baxter Lie algebras and applications ⋮ A survey on deformations, cohomologies and homotopies of relative Rota–Baxter Lie algebras ⋮ Bimodules over relative Rota-Baxter algebras and cohomologies ⋮ Relative Rota–Baxter Leibniz algebras, their characterization and cohomology ⋮ L ∞ -structures and cohomology theory of compatible O-operators and compatible dendriform algebras ⋮ Cohomologies of relative Rota-Baxter Lie algebras with derivations and applications ⋮ Deformations and cohomology theory of Rota-Baxter 3-Lie algebras of arbitrary weights

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